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Limits of expression with square root

  1. Sep 22, 2009 #1
    I am looking at the derivation for an expression that relates the concentration of an oxide to time. It appears that to do this, the author takes the limit of sqrt(A+Bt), where A and B are constants as t approaches zero and infinity. Is there an easy way to do this without making assumptions about the sizes of the terms (ex. Bt >> A)? Could I expand this as a Taylor series?
  2. jcsd
  3. Sep 22, 2009 #2


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    Since the sqrt is continuous, when t->0 you are simply left with sqrt(A). As t->oo, as long as B >0, eventually Bt >> A, so it behaves like sqrt(Bt).
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